Answer :
Answer: The area of the actual office space = 18 sq. yards
Step-by-step explanation:
Formula : Image length = Scale factor x original length
Given: A scale drawing of an office space uses a scale of 2 in. : 3 yd.
i.e. scale factor = [tex]\dfrac23[/tex]
The scale drawing has an area of 12 square inches.
i.e. [tex]\text{12 sq. inches}=\dfrac23\times\text{area of the actual office space }[/tex]
[tex]\Rightarrow\ \text{Area of actual office space}=\dfrac{3}{2}\times12=18\text{ sq. yards}[/tex]
Hence, the area of the actual office space = 18 sq. yards